{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3. Linear Models for Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy.stats import multivariate_normal\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "from prml.features import GaussianFeatures, PolynomialFeatures, SigmoidalFeatures\n",
    "from prml.linear import (\n",
    "    BayesianRegressor,\n",
    "    EmpiricalBayesRegressor,\n",
    "    LinearRegressor,\n",
    "    RidgeRegressor\n",
    ")\n",
    "\n",
    "np.random.seed(1234)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def create_toy_data(func, sample_size, std, domain=[0, 1]):\n",
    "    x = np.linspace(domain[0], domain[1], sample_size)\n",
    "    np.random.shuffle(x)\n",
    "    t = func(x) + np.random.normal(scale=std, size=x.shape)\n",
    "    return x, t"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3.1 Linear Basis Function Models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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VpTinlm3LDlC4owZJkkjtGkXHgfG07xV7xsPVjsfn9bJ37Sq2fP8tZXt3o9Hr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\ndW+55Lj1R1qwubzcPcKsJAClIHCvKY7dfTaq7c5LDz70d3/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wF0FQEO2Lo0NvwxDZxQnX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UzmHfJDMYNErWl2awvvStDhVPIEyXY5q+sQmm7MN4JkcJuBxEPE4IOBFCXjSxAHohhhYBDQo0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\nSUREREREREREKlNjkoiIiIiIiIiIVPb/kFtUxKNK6MEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10aa117b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-1, 1, 100)\n",
    "X_polynomial = PolynomialFeatures(11).transform(x[:, None])\n",
    "X_gaussian = GaussianFeatures(np.linspace(-1, 1, 11), 0.1).transform(x)\n",
    "X_sigmoidal = SigmoidalFeatures(np.linspace(-1, 1, 11), 10).transform(x)\n",
    "\n",
    "plt.figure(figsize=(20, 5))\n",
    "for i, X in enumerate([X_polynomial, X_gaussian, X_sigmoidal]):\n",
    "    plt.subplot(1, 3, i + 1)\n",
    "    for j in range(12):\n",
    "        plt.plot(x, X[:, j])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.1.1 Maximum likelihood and least squares"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Zt24dW7dupW/fvrS0tBzznd9LNJ8ofnCw3cnanCkPPvggDzzwANu3b+fdd989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\nie7xE9G3hm4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109d10da0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def sinusoidal(x):\n",
    "    return np.sin(2 * np.pi * x)\n",
    "\n",
    "x_train, y_train = create_toy_data(sinusoidal, 10, 0.25)\n",
    "x_test = np.linspace(0, 1, 100)\n",
    "y_test = sinusoidal(x_test)\n",
    "\n",
    "# select one of the three features below\n",
    "# feature = PolynomialFeatures(8)\n",
    "feature = GaussianFeatures(np.linspace(0, 1, 8), 0.1)\n",
    "# feature = SigmoidalFeatures(np.linspace(0, 1, 8), 10)\n",
    "\n",
    "X_train = feature.transform(x_train)\n",
    "X_test = feature.transform(x_test)\n",
    "model = LinearRegressor()\n",
    "model.fit(X_train, y_train)\n",
    "y, y_std = model.predict(X_test, return_std=True)\n",
    "\n",
    "plt.scatter(x_train, y_train, facecolor=\"none\", edgecolor=\"b\", s=50, label=\"training data\")\n",
    "plt.plot(x_test, y_test, label=\"$\\sin(2\\pi x)$\")\n",
    "plt.plot(x_test, y, label=\"prediction\")\n",
    "plt.fill_between(\n",
    "    x_test, y - y_std, y + y_std,\n",
    "    color=\"orange\", alpha=0.5, label=\"std.\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.1.4 Regularized least squares"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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VbroaBD4DVBdC1AcWABvzayiEWCKEaCKEaOLsXED1TAMxe2swZiZGTO1WyMDv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\njDHGo6wAGGOMR1kBMMYYj/o/RYYX4zHIMUQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b43d278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = RidgeRegressor(alpha=1e-3)\n",
    "model.fit(X_train, y_train)\n",
    "y = model.predict(X_test)\n",
    "\n",
    "plt.scatter(x_train, y_train, facecolor=\"none\", edgecolor=\"b\", s=50, label=\"training data\")\n",
    "plt.plot(x_test, y_test, label=\"$\\sin(2\\pi x)$\")\n",
    "plt.plot(x_test, y, label=\"prediction\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3.2 The Bias-Variance Decomposition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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SEY1R4y80svukksTm0GGOHd0BDYDe1T+JVJmymYD0/klYntc/E++SY9RJhlDJ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\nM+NeI91bAlffxDqumXXiN9kwA8nGb9UajQumarzlc1VxgVa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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b3b5be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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UZYyGrPGQOc5uc6ZAct4RtZKs67o88P5mbn9tLZPzU3jwmplkJccO9GmJiPQ6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\nL4o45yqBOcC2UEc5t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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ae8cac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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dUumCBfr/CCFXyHumRMKqKyTg6TsdGo+CrY9D3FRpy+r/E3i3Of56bWWw8zWZ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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ae26b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# feature = PolynomialFeatures(24)\n",
    "feature = GaussianFeatures(np.linspace(0, 1, 24), 0.1)\n",
    "# feature = SigmoidalFeatures(np.linspace(0, 1, 24), 10)\n",
    "\n",
    "for a in [1e2, 1., 1e-9]:\n",
    "    y_list = []\n",
    "    plt.figure(figsize=(20, 5))\n",
    "    plt.subplot(1, 2, 1)\n",
    "    for i in range(100):\n",
    "        x_train, y_train = create_toy_data(sinusoidal, 25, 0.25)\n",
    "        X_train = feature.transform(x_train)\n",
    "        X_test = feature.transform(x_test)\n",
    "        model = BayesianRegressor(alpha=a, beta=1.)\n",
    "        model.fit(X_train, y_train)\n",
    "        y = model.predict(X_test)\n",
    "        y_list.append(y)\n",
    "        if i < 20:\n",
    "            plt.plot(x_test, y, c=\"orange\")\n",
    "    plt.ylim(-1.5, 1.5)\n",
    "    \n",
    "    plt.subplot(1, 2, 2)\n",
    "    plt.plot(x_test, y_test)\n",
    "    plt.plot(x_test, np.asarray(y_list).mean(axis=0))\n",
    "    plt.ylim(-1.5, 1.5)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3.3 Bayesian Linear Regression"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.3.1 Parameter distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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8RItFJbeojGmvL8TDxZkFT96Ep5l5v646QTGUwbJgiJwGvT6v//EtpfAIrBsI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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b18d438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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j1A6J5FzuphvSCXUYh6d5c05kfc9jfu2Iyk+mT1M3Tqal0KaDD4cir9B5VDPS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\nRd+3oc5QNZT7kJRQdEVbzTKz5p2Y3LO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KodQzLKzNmfvxDCKOX+Lg70eYM68/F0PjGeTt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\nynMcCzepsmxsXTM21SGUQ2mgCCF46svZ6IpKWPTaCp54djA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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e2c94e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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s6nWw+5CsewbWPm2n6NavIUk91bYo1jzJvYmfYdYshXUVzokF8GW4yq1LwsQP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\nZmnAggAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e3fb8d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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udZ12LrBKRJYDTwMXmCMgM2J8ShdOvvp4Fr73CyOGd8d/fRnOrXWEVkdSnRvN6uJapq3Y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\nDShKKaXc4v8Du00rMzuH7JoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10aad5dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ae12a58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def linear(x):\n",
    "    return -0.3 + 0.5 * x\n",
    "\n",
    "\n",
    "x_train, y_train = create_toy_data(linear, 20, 0.1, [-1, 1])\n",
    "x = np.linspace(-1, 1, 100)\n",
    "w0, w1 = np.meshgrid(\n",
    "    np.linspace(-1, 1, 100),\n",
    "    np.linspace(-1, 1, 100))\n",
    "w = np.array([w0, w1]).transpose(1, 2, 0)\n",
    "\n",
    "feature = PolynomialFeatures(degree=1)\n",
    "X_train = feature.transform(x_train)\n",
    "X = feature.transform(x)\n",
    "model = BayesianRegressor(alpha=1., beta=100.)\n",
    "\n",
    "for begin, end in [[0, 0], [0, 1], [1, 2], [2, 3], [3, 20]]:\n",
    "    model.fit(X_train[begin: end], y_train[begin: end])\n",
    "    plt.subplot(1, 2, 1)\n",
    "    plt.scatter(-0.3, 0.5, s=200, marker=\"x\")\n",
    "    plt.contour(w0, w1, multivariate_normal.pdf(w, mean=model.w_mean, cov=model.w_cov))\n",
    "    plt.gca().set_aspect('equal')\n",
    "    plt.xlabel(\"$w_0$\")\n",
    "    plt.ylabel(\"$w_1$\")\n",
    "    plt.title(\"prior/posterior\")\n",
    "\n",
    "    plt.subplot(1, 2, 2)\n",
    "    plt.scatter(x_train[:end], y_train[:end], s=100, facecolor=\"none\", edgecolor=\"steelblue\", lw=1)\n",
    "    plt.plot(x, model.predict(X, sample_size=6), c=\"orange\")\n",
    "    plt.xlim(-1, 1)\n",
    "    plt.ylim(-1, 1)\n",
    "    plt.gca().set_aspect('equal', adjustable='box')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.3.2 Predictive distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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yGp64uIIF2eGPWnqy4m7GNBVPDKRoIEwEt8Pwsw/uIdnh5z+2FdPpdXLb6bWI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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b0813c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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8E6gHXhORx4wx+0btdj1QHdkuBu6O3E7oaHc6wQE39199kHdo1lKVJA6Bf1x/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\nlFIq4v8HBOon8xopcEgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a9aaeb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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7kP85lGWIHYbhyFZ9BfoPGm0JtL4MQ7XKv6EJSSJWENpGrNy2eSZNQ3YeWVXN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\n/A9eivTZSACh6gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10abdd550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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02IeBo0KIQ8B9wI1yPCbztNWr4PFgH6z+kJpfcApOr+BL78zk+Yo4vjKvjp9d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\nhjv9CV/j0HQz1F8DoezMIjsflhCMmU4i0Hwb+Iv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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e2bbbe0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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EInEOdI6edFwi2dM+QiSWpCFRx4e2r8BpMfj9DQfZkN9POJbglYYe5L7n4bkH\nwTDgircSv+hqXmwewZCSilxXyqNx5hsTYbnx5OQraUNKrDLO7bnPc9uyGJuCX+Ul88Wwbxu8+kR6\n+hWESYlC96PQ/UctCpozYyRUnaJEYNbDly+4KCOBYM2ifJ472MvutiGG/RFqS7PwZNjwhWI09IzR\nNRziKd/FvOBfypXFXr53xRGybElya4vY+dpB6pq2IZJ+RvJr8C++jJGg5EhLG+FYAofNzJpzbd14\nAVKQmYE3FKNtwH/K6qoA3cNB4kmDTKeVd63oY2lulDtf+jj/YPkDH+x4SNWCuvSWWa39dEpM470U\nOn6rGuyUXj/bI9KkM10Pw9i+aa9TdDZccIIAqr7/hjrJjsP9dA4HjpqHAKKGhd+NXkVDuJx31/Tz\n+TUdqnGNlBT2H+Sm0ReICitbM9fSTRE0Dx99bY7bzlVLSnCfY52fC5Ha0iya+7w09Y5RVeCmIPPE\nST0ST/Baq+oRXVei2mReXz7GQ9c38P7n3kxDtJRvjfwI87P3q0guT+5s/BiTM9FLoe3XKhS18MrZ\nHpEmHRl6RRWuc1alRQBKqnoq3wh8BzADP5FSfv0NxzcCDwOt4089JKX8Uirufb5UF2VSkuOkuddL\nx3CAeMIgJJ3c23cVHREPX1rbzrtrVSN3Qn5lohjsRJRUY7t4EzVBScZwkHjCwGEzU1XgpjAr44TM\nZs3k5LkdLC7OpLnPx1N7u6guymRBoQezyUTvaJDGHi/hWIIcl53FJcfCduuyw/zhhkN8YNsK3jb8\nOe41/RcZzz6AuOwW1U86nTDZxstm363swnnrZntEmnQi0AbNP1Zhy6b0WJtPuXSFEMIMNAHXAV3A\nTuAOKeXB487ZCHxSSvnmc7n2dJWuOBUNYxn87bO1+GJmvn9FMxtLfepAVxO8/rTyFazcqArSpYGS\nzwcMqUqITDTneSP5mQ42Li09ZSOcSELwie2L2NOZ5CHXVykwhhHr3gRlNdM97HMnEVJlLur/GXJW\nzPZoNOlAbBT2/of6OsV+g6mUrkiFU3k90CylbJFSxoAHgFtTcN0Z48U+D3/1VD1JCQ9ed0iJQSIG\nrz4Jr/wZ3Dmw6a9hwXItBinEJASX1hbxF2uqqCvNJs/jINdtp6rAw6aLyrhxVcWkXdEcFsn/XX6E\nW5bEuT7wZZpNVcgdfzpWUjydsDjBXgCN3wZvw2yPRjPbJKPQ+H+qaF2a1cBKxT6lDOg87vsu4JJT\nnLdBCLHD/0baAAAgAElEQVQX6EbtFg6c6mJCiDuBOwEqi1NXRG0yHm7L5ZPbF7LQE+HnGw9T5orB\nSB/sfEw5LesugSWXzEjp2QuVbJed9YvPvWKoScC/ruqm1FXALbs+x8+d3+bSPc9AJKhqR6WTeE/0\nUjj036qXgqd6tkekmQ2MJLT8TOUcOCtTdll/OEZTr5ee0eCUrjNThqvXgEopZUAIcRPwB+CUe3sp\n5V3AXaBMRtM5qJ82FPHl1yq5pNDHXVc1k2VNQOMuVZDO4YKr3pZ+dmnNSfxNzSCFGXHe9+I/803b\nT3lz4zaIR2HlNeklClbPuCh8E5Z9GlzT3/BEk0ZIqXoiD758zhVMT8eBzhFebxtKSYRzKgShG6g4\n7vvy8eeOIqX0Hff1o0KIHwgh8qWUQym4/zkjJXxjTzk/OljCjRUjfHtDC46YH3Y8DoOdyg598Waw\npTZBJJ40aB3w0TMSIp40cFjNLCz0UJrrmv4a/vOc68vH+NW1h/m75/6OEZOLd7c8pkRhzfXptbuz\nZUHMgAPfUDsFV8WZX6OZH/Q/p3JTnJUpE4PGnrGj0XiLijJZXJzFf0zheqkQhJ1AjRBiIUoIbgfe\nefwJQohioF9KKYUQ61G+i+GTrjQDJA341CsLeLClgHcuHuDLa9sx9x2B156EZBJWXw9VS1O+smwf\n9LP9cD+xxImJWG2DfjIzbFy9tIRslz2l97zQWFMQ5LfXNfCure9gJOnm452/VaJwyZvTq+y4LWe8\nwc431E7BWTrbI9JMN6N7oeXnkFGWsoiiRNJgd5sSgw11RVQXTb2I5pSdylLKBPBR4AngEPCglPKA\nEOKDQogPjp/2NmC/EGIP8F3gdjkLnXmiScFHX6zmwZYCPra8m6+uPoJ571bY/gg4M+Hav4YFqY8i\n6hwK8PyhXmIJg4LMDC6rLWLTRWWsXpiP22HFF47x1N6uo+UcNOdPTVaE311/iEfsN/KF5HuhrxVe\nfljVnEonJipZHvw6hPtmdyya6cV/RJVHdxSAOXWLvrZB//ic4kiJGMAF1DEtlDDx99sW83xfFp9d\n3cH7S/bDK4+qlpY1a5QTchpWkYaUPLSjlXAswUWVuaxckHdCrkLCMHjuQA89oyGqCjxctaQk5WO4\nEBmKWHjvM7Us8e3km9a7EfmlcNlfgtV25hfPJNFBMFlh6acgI42bAWnOj1A37P+Kyli3pbYM/o7D\n/TT1elmzqICl5ceilWY77DTt8cXMvGtrLS/2Z/LN9S283/I4PHO/anR/+VtUf+NpMil0DgUIxxJk\nOW0niQGAxWTi0toihBB0DgUIxdKwPs8cJN+R4L5NjbTlruFj8Y9gDPXCiw8pE1I6YS8AIw4H/xPC\n/bM9Gk0qiQzBof8CYU65GMCxMllmU+osGvNeEEYiFt65pY69Iy7uWr+Ht/f/BPY+qxrdb3oXFE1v\npEe/NwzAosLMSbOYXXYrxdkZGFIyOH6+Zupk2pL88pomxgqW8cHYP5IcHYAXHlILgXTCXgBGTJmP\nIgOzPRpNKoh5oeFbkIyAPX9abuFxqhI5Pcf1QJ8q81oQBsIWbt9SR5M3g99d9BibG76noohWXgOX\n3QqOyUsvp4qJvgo26+l/1XaLioSZrCS35vxwWgx+cvVhROli7ox+nOTooNoppJ0oFIIRhQN6pzDn\niftVvkl0GBzF03abRYWZmISgezjAoC81C8m0FoSp+Dd6Q1be8fQSBgPwXOV3WNl4L9idcO07oXrV\njMWnu+zKFDXonXwCMqRk0K+OO+1pFA0zT7CbJd+/ohl3xQLujH2c5OgQMi13ChOi8DUI9872aDTn\nQyIIDf8DkT5Vx2oaybBZqC3JQgJb9nfT2DN22nLyZ0NaC4I/HOex3R209PuQnL04dAVtvP2pevLD\n3byU+e+U9O2Exavhmjsgc3q2b5OxqCgTAbQP+fGFT91vt23ATzASx5NhpTArzUo5zxMsJvify1rI\nWVDJB2L/RHJsCJmWPoVCVR9//9eUQ1Izd0iEoeHbEOpU4aUzwJrqAqry3cQTBq80D/DgS0emdL20\nFgSAIV+EFxv7eP5g31mZUzoCdt75VA1vjT/Gb6xfIEOG4Yq3wIqrZyUW3e2wUlngIWlItuzrpmc0\neFTcEoZBY88Y2w8rE8HS8hxdLXUaMZvgm5e0UbyonL+PfRxjdEh1YEs3UXAUAFLtFIKdZzxdkwYk\nQtDwvxA4Ao6ZEQNQ9cCuXFrClUtKKMrKmLLJOa3DTtfU58sHvvMuXm0dJJ4wWFqew5pFk0dTtfnt\n/MvTOXzWuJuVolllHK/aNOsNVGLJJFv3dTPoUyYKl92C027BG4odTVSrK81m3eICLQgzgJTwxVcr\n6W3u4Ie27yByixFX3AaWdAtJHQEZh6X/Au5Fsz0azWQkgmpnEGiBjPJZLZcSTxrU3/jl+Rl2KgTU\nlGRx7XKluI09Y0QTyVOe2+K18cBTPdxjfI7l1i5Y9yZYf/OsiwGAzWxm84pyVi3Iw2m3EIwmGPRF\niCUM8jwOrqgv1mIwgwgBX1jTQXlNBR+NfRRjpA/5Ujomr+WCya4czbpKanoSD8Chb0GwddbFAMDa\nccqaoWdNWu8Qjk9Me3pfF72jIdYvLqSuNPuE8zr6I/S+uI1LOEAwZwGuSzaD0zMbQz4jhpSMBWMk\nkqqxTmZGmq1KLxD8kTij/ig/aKom1NnFt23fRxRWqkY76VTmAlTUSmwU6j4GuatmezSaCWJeaPxf\nCHaBMw2KYI70wrbfUv390fPeIaTZX/7klGQ76R0N4Q8ft4qTkoGGRnIPPUOehL76GyleWj/rKn06\nTEKQ69Y1i2aLQV+Yve3DR2O3l8oennKt4t9CH+C/Bu5CvvIo4pKb06sgntUDwqQmn+q/g8KrZntE\nmomks+hIeohBOADb/6iqNDN63peZM4KQSKqdzNGkvMAYoZ1bKRxtZydLyNuwkUUlqa1OOu+QhkqA\nMuLqX5lUzyHVQ5jVAxOYbcpcISxpLbDnQtdwgG2HekkaErNJUJTtRABvMu/lMVbwudB7+XLvL5A7\nH0esf5OahNMFiwtEiWrHGfNB2c3z5n2Zc4R6VAnzZBScM+dAnpRkAnb8SQVHbLwD+P55X2pOCIJE\n0jboByDfY4fDr2IceAnDsPIV+V7efm0xi3LSLFJkNpESkkFlapAxlKtIqn+tmSqN3pYDZpeqvGiy\nqskvGVGPRBhiIxAdUl2dMHHUvWF2gTUrbXrAni3BaJznG/pIGpLakixWLcw/mgwYSySpaW/nuwer\n+GronXym+z7kq1bEmuvSa9I1O1Tp5I7fQNwLVben107mQiDQonwGCHCkSe2pPc8qc9H6myFramH1\nc+JTfaBzFF84RqnwU7FvJ4wN8AKr+E/5Hr6zaYDa7DRLMJpppISEH+Jj498DzhLIWQXuapU6b88D\nW/a5r3qTUSUOkX4VF+9rBF8DyIS6r8VzftedYQ73ekkkDcpzXayvKTzBgW+zmFlbnc8Hoke4+0g1\n3w6/hY93PIS0WhErNqaXKJis4FoAvU+o96X6/WCZ/cCJC4KR16Dp+8f+5tOBlj3Qtg9q10F57ZQv\nl9aCkEgaPLO/m/6hMdaFGqmLtJO0ufkCH+YxuZ77NzVduGIgk8rRmBhvmeeqgqJrIbMWXJVqNZkK\nzHbIKFGPnFXKVGEkIdytVktD25VIINXuwZ6XluIwscNcMkmuh0CwrCKH6wZ3s0VczE9CYd5/5DGk\nxYZYdvlMD/f0CLPquDXyOsS+AXX/mHa9eecVUkLfFmi9R+0KLNPf2vesGOpSu4OihbBsQ0oumdaC\nEIomsPU0cmuoAYcRJVCxmtu63s+wdHH/pkbqsi+wQnBSjouAT00K2cshfwNkLVGmoJnCZFai46qE\noo3KNOVrgIFtMLZfnWPPT58PDhCOqiqyeZ7JhTLXY0cI2OR5nfbiTdzfEuGOxmeUKNStm6mhnh1C\nqN9/qBf2fRHqP6G7r00HRgI6HoSeRyGjUvnW0oGQT/kNXFmQQn9XWguCOxnh8sAejOwiBupu4C07\nryGYNHPfpgbqLyQxSEYgOqAcwJ4aKP5rJQbpMuFaPZC3Tj2iIzC8E/qegGDb+PY6d9bNLhaziYSR\nJBxLYJ0k1DccS46fK/jMmi6+ws083Brl1gMvIK02xKKVMznksyOjRBVR2/dFqPkg5K2d7RHNH+I+\nOPxjtchxLRwPuEgDEnF4+Y+qw+NVt4A1dVGLaS0IJilhzfX05q3iHVuW4I+buW9TI0tzThYDicQb\njBFNGNgsJrJdtrmd6CWl8gnEvWB2QvmtkHdp+jdRsedC6Q1QvBm8B6D7EfA3KxOWvWjWhKEkx0nr\ngJ/mPh+rF57a8XakzwtAaY7qcf25Nd18Sb4Fd1uYa3c/g7TYEZX1Mznss8Oep0onNH4XKm6Dslu0\ns3mqhLqg4TsQH1U+m3TxI0mp2v16B1TFZk9uSi+f1oKAJ5PeglXc8XQ93piZe69tZHnuibW/DSk5\n3OulsWcMb+hY8ThPhpW60mzqSrPnVgN7KVUXrURQ+QUW/DXkrExp670ZwWSGnBWQfZHK4ux6GEZ2\nq12NvWDGP2B1pdm0Dvhp6B6lKCuDstwTd1f93hD7O0YAqC1VzUyEgM+v7eaLxh04O6JcsusJsFgR\npdUzOvazwuJUEUhdv1fF1Ra9D6zu2R7V3ENKGH5FhfeaHSr7OJ1ofAW6mmD5FVCS+nImKclUFkLc\nCHwHMAM/kVJ+/Q3Hxfjxm4AQ8F4p5Wtnuu7KukKZ++4fMhi28qtrG7k4P3jCcUNKnj/US8dQAOBo\n5q8/HCc83nmsLNfF1UtLMJvSz9F5AtJQZqFkBLKWqh2BpzZ9ViZTRUrlhO74HfgOgjV7xh2hO5sH\naOhRkViluS4q89wgoGsoQPdIEAlUF2VyWV3RCbtLQ8J/bC/mLd0/ZpmpgwMVV+J1FpLjtlNdnInL\nbp3Rn+O0SAnhLhUFU/sP4F4w2yOaOySjyl/Q+5TqY2CZ/n4p50RPs0o+q6iHtTdOOjdMpYXmlAVB\nCGEGmoDrgC5gJ3CHlPLgcefcBPwDShAuAb4jpbzkTNfOLFskK/7229xzTRNrCgInHd/dNsS+jhFs\nFhPrFxdSVeDBJASGlHQNB9hxeIBIPEl9WTbrqgun9HNOG1KOC0EIctZA+S1qZzBfhOCNSAm+Qypi\nI9wLjpLURUSd6dZI9rQNc7Br9GjjoglMQlBfls3FC/NP2lEmpWTH4QF+dKCKzybvodI0wJas9YxY\nsxFCUFeaxZpFBem1E42OqFDkhe9Wjv90Gls6Eu6Dwz+EYDs4K9LHXzCBdwiefQAy8+CqvzpteZWp\nCEIqTEbrgWYpZQuAEOIB4Fbg4HHn3ArcI5X6bBdCZAshSqSUp+0CEjdM/HzjqcUgkVSlowGuXlpK\ncfYxNTcJQWW+B6fdymOvd9Dc62VlVR42Sxq9yVJCbFh9aLNXQMVbwL1wtkc1/QihdkArvgwDz0P7\nb1QIbUbptIerCgSrFuSzpCyHln4fo8EoEsh22qguzsRhPfnjIJG8eKiP9iE/1+Xt5/8C7+FfQ3dz\njf91Di24mkN+Mw3dYySShuqNnS5+K3uuMs+1/By8+5UwTENf3zmPlDD4ArTco5ItXQtme0QnEwnB\nyw+D1QaX/sVpxeDg6NRyUlLxCSwDji/a3jX+3LmeA4AQ4k4hxC4hxK5sRlhfeLIYAHQNB4klDPIz\nHSeIwfHkexwU5zhJGJL2wVNfZ1aI+1QEjqMQln0G6v/5whCD4zFZofhauPgbKjIm2KZ+LzOA3Wpm\nSXkOG+qKubyumGUVuacUA4Du4SDtQ36sFhM3XVzOt28M87OCDxFI2qjveJEbajKxmATNfT4G0q0f\nttmuomNG98Cez8LovtkeUXoR80LT/yl/gT0vbTKPJRJvKMqQP4w/EEZufwQiQbjsFsiY3C/UOJbB\n32ytm9K9086wLqW8S0q5Vkq5tix78uEFo6rIXUHm6RWxcPz4xPmzSjKqJj4hVOXK5Z9ViWQX8nbe\nlg2L/x6WfBIwINQxXl8pPWjqVZFHF1XkkudxYDbBZ6708+PcD5GIJ7DveoKLipTJq7HHO5tDPTVC\nqOJrJquqv9P6q2PJjBcqUsLQDtjzaRjbq0RzhsyWpyMpJYe6R3l4ZxuP7Grnsdc6GHjuj4iRXvpr\nrkLmTC5Yh70O3rmlDqtpai6AVAhCN3B8Rkz5+HPnes45YR6vcheLn7o/wgTR8eOz6lSWhgpjiw2p\n+jMr/xPy1qRlRu+sIISKSFr5NSi4UolmYvZ3dBJJ35iKaqsuPpb4ZzHBv18d5QfZH8ISDVDS9Dw2\nI3703LTEmgnOBdD3DOz+NIzsURPjhUZkSDWzafq+CudOgx4GoLonPrO/m11HBvGH42TYLKwzOqiO\ndrPbWcuTw062Nw2cspXwEZ+DO7bUYxKS+zY1TmkcqZiRdgI1QoiFQggbcDvwyBvOeQR4t1BcCnjP\n5D84E0XjZqKOocCkjaWThkH7eMmC4uxZqvcSG1WOqrz1sOobUHpj+mQ7phsWJyx6L9T/k3Kyh7pn\nddKSkqPOZ7v1RP+T1ST5xEbJDzPvxB0ZZv3YXkimwS70dExkmAszNHwLmn+snM8XAskY9DwOez6l\nghpcC9MnsRPYdWSQ3tEQGTYLVy8t4S3lSepH92OU1eJacfm4WdLLoa6xE17X6rPzzi3KTHT/pkaq\nM6dWymfKgiClTAAfBZ4ADgEPSikPCCE+KIT44PhpjwItQDNwN/Dhqd43x2WnMCuDeNJge1P/Sb1E\nDSl5pXmQSDxJrttOfuYMbwmTMbXSNTtg+aeh5k7l6NOcHiEg92JY+VXIqlc5DMbsTLQmIciwKd/C\nkO/kD5rNLPnotVa+l/EeKpP9rBo5oEoRpzvWTOU8Hd4Fu/8Nuh9T5sz5iJQwuleZh9ofAFv+eADD\n7O8KJgjHEhzp8yEEXLu8jEpTENOrj0NuCaa1N1BTms2G+mIADnWPHp3r2v127thST9wQ3HttI4uz\npl7XLSWJaVLKR1GT/vHP/ei4ryXwkVTc63jWVRfwxJ4u2gb9jAaj1JRkkeVUeQiHe72MBqOYTYJ1\niwtnLvpDSoj2q0ms8m1QfL3eEZwPthyo+zj0Pgbtv1VOv5ms1zTOokIPB7pGOdg5ylXLHCf9HdnM\nBkvLAnyr+e38a+I3dD+3lbKNmyHd816ESfkWklFVTrv/aah6pypgOB+ynE/IezkA1rz0jCBCFV40\npKQ8z02uKaoiiuzOEyKKKvPdZDpt+EIxekdDGLYc7thSRyRp4v5NDSmr65bemcpnINftYPNFZWw7\n1Is3FGPXkcETjmfYLFxRX3zUsTztJMMQ7lFhlYv+FjKKZ+a+8xWTGcreDO7FyuYb7lF5CzO4uqst\nzaaxZ4yO4QA7mgZYuSDv6K4hFE3wWusgQ94AxUVWful9G+8Z+x0d22xUXn11Wq1CJ8VsVxNl3AdN\n31U29ap3qFpZc9XHFWyHzoeOZcY7F6b1exGMqF1lsdsMLz2sdplXvnW8+5lCICjMzMAXitHiNfOp\nvfUEE6p6w5JTlPI5X+a0IICKMrpt/UI6hwK0DwaIJpPYzSYq8t1U5rtnxpksJUTGXSITLQ7n6ocp\nHcmqh5VfUqLgOzyeuDczv1+3w8qVS0rYdqiXw31ejvT7yM90qEAVfwQpJRaziY3Lish2u/nd4zfz\ntpE/c+QFB9VXXJLWE9EJWDPVIzaq/AvOKpUtn7NybjRDkoYqw979Z/DuA3NGetUgOg0mk0BIg7Km\nZyEwDBtug8yT623FEknGEk7+5fW1hJJm7t10cimfqTIH3ukzYxKCqgIPVQWemb95MqJWrtkrlEPU\nMbWORZpJsOXAkn+F9vuh72m1kp2h+k7leW6uX1nB/o4RukYCR/MNhBBU5btZXpk33ifb4KYb6vjz\nE2FuHtxK03Y7tZddPCNjTBm2HFVWJD6mYvRt2apYXt46VdU23UiEYHQ3dD8K4U4wu1U01RwQggmK\nMh14AvvJjPZgXLwZU1HVSedE40kODEh+NriZhMnKr69t4qIUiwHME0GYFSZ8BTI5viu4Uu8Kphuz\nTWXcOiuh9Zdgy5uxSSrf42DjslJC0QTecAwBZDltR81HEzitko3Xr+KZxyNc0/ssB3fYWHrJshkZ\nY8oQQgmDLUflLLT+CtruVaJQeLWqsTWbfgYjOd6c6UUYeBFkXInYHBOCCUoGD2CKdrIvYzFxWczF\nyDfU0pI8esDL3f2biEgH91/TxMq86ckl0YJwPhgxlVeQWQ+L368yjjUzgxBQfI3yzzR+G4yoasYz\nQzjtFpz2039sXDbJ+hsv4aXHo2zofpK9uxysWJuGFVLPBotLPYyksskP7VAtO/Muhdw14Fk8Mzu1\nZAQCbTCyC4ZeVjsDk0VlF6epSStpGAz6IsQTBjariYLMjJPrXXUcwnTwJUJFi9mTrEN2jTLgC7O4\nOAu3w8pYMMqOjhjf7riakOHgJ1ccYFX+9EXdpedvMp2JDqukqao7oOT6+RGRMRfJWgLLPw8N/6Py\nFdIslNBlgxU3XMmrj8e4uP2PvGZ+K6svnsMdzUzmY0ESyaiq/zPwLCCUKGSvBE+1eh8s7qm9F1Kq\nPiCRfgi0wsirakeAVDkUtnxVQj1NSRgG+ztGONzrJXJc4myGzUJtSRbLKnMxCwED7fDqk5BfjvPS\nN3H1WISXGvsY9EUYHA9zHks4+dngZsLSzo8vP8CVFdMbgp2S8tfTxdol+XLXbz4628NQyKTaFWQU\nq85UrpPtfJpZYKIejf+IMiWlkSgABCJJ2p54gvrEYV6rfgfrV82zyDOZVC1U4z4QqMnc4lQJcM5K\nNXFbM1VvBmFVwiLM6jwjph7JMERHIdqnqo4G29VzCOUstmapa8wBk2wiabBlf/dRP1OW04bHYcUX\njuMLq34tJTlOrimzYH7hd+DMgqvffrTrWTxp0Dbgp2s4QF/Yzv+0X0XIsPGra5tYnX92PoPZrnY6\n/0kE1WqlZDNUvj0t6p5oxrFlqTpIh38MI6/NaATS2WC3CowVl9L4epRVRx7kp903UVFup6Yk62i5\n9jmNMCvHsy372HNGDEI9SqQnkgpPeE8mfmZ57F8pwWRXny1rVlrvAE7HziODDHjDuOwWLq8vpjAr\nA4FAIukdDfFSYz/+oSGM1pcxWx1w+W0ntMC0mk3UlGTh8BTw+S11RKSF+zY1sTJvZsqiaEE4HVJC\npG+8GN3HVQbtXP8Az0fMDqj9iHJ+9m9VIZNpYFf2hWNs3d+NPxyH7CVYRxP8deRxftZ5M/3ePhp6\nxrhmWRkO6zwzO5psYLMBM9sAabaJxBO0DvgQqIzjbNexiV4gKM1xcU1NNtbnn8aQSeJX/RXWU1Qv\nbferchT+uJlfXzt9DuRTkT5LqXTDSKjSE64qWPEVyFutxSCdMVlg0Xug/DYItatV6iwSTSTZsk+J\nQbbLzpUXlVF8/c0MmvN5T/QxfEEXQ74Izx7oPqnsimZu0j4YIGlISnNdJ4jBUeJR8vY8hktGeCZz\nLZ3RkysYtPrsvONplXR236bGGRUD0IJwauJ+CHeoxJyl/6pzC+YKwqSazC/4G9VXeBbr8zT3eglE\n4uS67dy4qoIFBR4yPU4KNt+C15zNe0KPMBzIZNAXoXvkAi9HPU+YaNub7zmFSTmZgJcfAe8QLQuv\nYtCae/T8CZq9Dt6xpZ6YIbh/U0PKk87OBi0IxyOlautoRFQSVOVb0sL0oDkHhIDSG2DxByDcrcIT\nZxiJ5HCf6o2wakE+VvOxj5nD7SRv860EzR7eF/4DXd5sDvemYR8FzTljGX+fQ2+Y6DEMeOVRGOqC\ntTfQZy864XxQnc7e8XQ9hhQ8sKkhpeUozgUtCBMYSWVqcFXCii+pWi6auUvhVVD3D6pf9Qw3hEkk\nJf5wHLNJUJJzcjc/u9tF7ua/JGp28uHY79ne7rwgWxPMNybe6/ZBP4mJkvxSwmtPQu8RWLmRaEkN\nXcOBE87fPeTi9qfrsZklD24+RG321KuWni9aEECtIkNtUHKjMhHZ82Z7RJpUkLdOtSeNDkF8dhru\nTOZ2srrd2K68mYiw8eHIb/n5jtS3fpDj/2lmhjy3g/xMB7GEwUuN/SQNA3ZvhY5DsOQyEgtX8mJD\nHwlDUpLjJDPDxisDbv5max3Z9gQPbj7EoszZLUOuBSEyqOq21P0jLLhdtRrUzB9yVqiw1PiI8g3N\nABazwO2wkjRUqOFk9ERMPJ99MQmTlbd2/5gfvGjCmOL8HYkn2N8xwh92tnLv84e5/4VmntrbRft4\niWXN9HLJ4kKsZhPtgz6OPP1naN3LWPkKdjuqeXhnG90jQWwWM+uqC3mmO4t3PVNHkTPGg5sbqHDP\nbiAEXMiCIKVyPNoy4aL/UI3eNfOT7GXKJxT3qgSqaUYgqCnOAmB32zAJ4+SOfuFYgoNdo4QtTiJr\nbwSrnb/p/yH/u81C3Di/aLYhf5g/7mrn9bYh/OH40Y5vfWMhth3qZcv+7km7C2pSQ67bwXUry1kX\nb6E20EyDo4o/hsvZ1zlKKJogy2njhpXlbBss5gPbFlOTGebBzQ0UO9Oj296FKQhGXHXiylkNyz8H\nztLZHpFmusmqh6X/pgRhBkShpiQLl93CsD/CE7s76RgKkDQM4kmD5j4vj+/uJBRNkO9xUFpeTNam\n2xA2Ox8Y+j7f2GomnDi3j2YgEmfLvh4i8SSFWRlsuqiMd15Zw9svq2ZddQEOq5m+0RAvHOrVZqRp\nJq9zN/W+BoLFtYwt3kBVYSa1JVlct6Kcv1hbxaO95XzsxUWsLghw36ZG8hzp02XvwitdkQhAZACq\n3g6lN6VVVqtmBvA1wcFvHqv/P414QzG27O8mGDn16i/P4+Da5aU4rOORbCEf/q2/R0RDfMP5UT65\nCbJsyVO+9o3sbB6goWeM0lwX1ywrPSkD2heO8djrHcQSBjeuqqBgpppGXWg07ICDL0HlElhz/Qnz\ni/HzADIAACAASURBVJTwvQMlfGtvOdf8//buPD7Oqzz0+O+ZfZE02nfJsuVFkndHcbDjOHYWQwIk\nJDQQkhJaKKZAgAItkKSFe6FLenvDbUt7m4SWXppLy6W0aQIJ2RMSstpJvO+7LHm0r7NqZs7944y8\nxJIla+SZkXS+/ugjy/N63qP3I73Pe7bnqezjH9YdwmWb+vtvKqkrUrobikihiDwrIgeTn0fdmigi\nx0Rkp4hsE5GtqZwzJeFO/XTY8HVdicsEg9knb6FeOJCGnoLP4+BDq2ppri/B53EgIlhEKM5zsXZR\nOe9fXn0mGAB48si99qPgzuGe4A/4i6cV/uD4c1rxRILDHfp7WVlXPGo6jDy3gwUVOr2EWeZ6iex/\nSweDmobzgkE8Ad/ZWssDO6q5pa6Lh9dfmmCQqlTviN8CnldKLQCeT349lo1KqRVKqfQP1o/MF9hz\n9HxB4fK0N8HIIucEhUs70eywWWmsKuCm5jruvGo+d1w1nxtW1FJfljd6NT93DjnX3Iry+vjv0b/l\n+09HONh/4dxZgUiM4ViCHJc9WahndNVFuiRjXzDzk5czzr43YferOhg0v/+cYBCJC19+rZ5/OVjG\nZxv8PLDmKHZL9gUDSD0g3Az8OPn3HwMfSfH9pp6K6xQUvkYzX2CckbcwufqoL21LUiX5Z1wuL96N\ntxLPK+bP1Q/4p2d72dJxfs6b98rOW8wMp5QOBKeHic4NBv1RK3e9uJAnThRy78oW7lvVgiWLM+Ck\nGhDKlFLJYsL4gbIxjlPAcyLytohsvtAbishmEdkqIls7+1LcoBGP6GBQsUknp7OP/0tlzCK+Bmj4\nKkS70755bVxON54NtxIrqOZ+y4M8+dIJnjwxerI4r9OGw2YhEB6mZ2js35mTXTrw5XvOz6FjTIJS\nsPPXeqiobqkOBmf1+lqGHHz0mUbe6crhr9ccZnOjP4ONnZhxA4KIPCciu0b5uPns45SenR7rIWWd\nUmoFcAPwRRFZP9b5lFIPK6WalVLNJfkppJkeHoJwG8z7DNTdYVJQGKPLX6IfFiKdGUlzcUF2B671\nNxMtnc93bD9m3+s7eGh32Xkb2KwWC/PK9AT5O0e7Rt1v0B+MciA5d7CwMv+8142LpBLw7vNw6F2o\nXwErrz1nF+LOHg+3PtNIe8jOv2w8wEfm9mSwsRM3bkBQSl2nlFoyysdjQLuIVAAkP3eM8R6tyc8d\nwKPA6qn7FkYR6YbYADT+EZRvMFlKjQsrXA4Lv6RrXsQzlzZgVFYbjrUfJF7TxNfsPydn97Pc92bN\neXsVmqoLcNqtnOoN8sz2Flq6h4jFEwST+x2e3t7CcDxBTVEORblpKHk5k8VjOjfRsZ2w8HJYtuGc\ne8xTLfl87NkGHBbFf1y/lzVl6dkQORVSfWx+HPgUcH/y82PvPUBEvIBFKTWY/Psm4LspnndsoVO6\nBuzib4Kn+pKdxphhii6DBZ+Dgw+Cuyo9dYInymLB2rwJ5fZy54Hneaalj82Bu/jrq1pOL0v1Ou1c\nu7SKF3a10jkQ5qXdbee9TWWhl3UN5RObxzAAXeC+pWuIE11DRGJx3CRY1fE67v42WLoeFlx2+lil\n4MG95fzlthqWFw3xw/UHKXVnzx6DiUg1INwP/ExEPgMcBz4GICKVwD8qpW5Ezys8KjqC2oB/VUo9\nleJ5z6cUhFp0crpFXwHH7CrOYUyBkrW6jsLhfwJPjS70ki1EkCXrwJ3D9dtforh3gLt+9UUe2NDO\nfJ/u1RTluLipuY7D/gEO+XX6bYsIJT43Cyt8VBV6L0mFNoWioz9MMDKMzWKhxOc6dzntNNU5EOKV\nvacIRPRN3ZWIsGJgC87YAG/lr2ROaePpSdNIXLhvyxx+fqSED8/p5q+uOJqVy0rHMzM2pqmErsNa\nsELXO7aZTTdGCtqehmP/N2sqr52n9SCJLU/RlijgC/Gv8dUrI2ysTP/eAoXiQFs/e1t7dVW4JKtF\nqC3OYeXcYrzO6ZkbrGcozNPbTxKLJ8jzOFiSr5hz4Hks0RBbii7ngCrEahGuX1ZN3JbH778yn23d\nOfzB0la+sqQto6PUs7umciKm01aXXQtzfzs7f4GN6aViEyQicOLfwVOnC8Nnk6oFWNw5VLz2OP8a\n/S6bX/4qe5ZW8PmmU2lb0qhQvHmw4/QmtxyXnaJcF5HhOO19QY52DOLvC7FpeTV57vN7WqFojEP+\nfo50DBKKxLBZLVQUeFhU6aM4N/MPdFsOdxKLJ6gryeXK4hiWN36hfw6uvo3L88tIHOzgkL+ff9sR\n55GOJgIxKw9edYgP1PRmuukpmd53z3gUQieh5lZd3czsPDamgghUfRjiIWj9JXjnZt/PVmEF1o23\n43ntMR4ZvJ/v7PoUmzsv44G1xyac7iIVh/0DHDzVj80ivG9hGXNKck8PRw2Fh3ntgJ/2vhC/3nOK\nD11We868RVtvgJf3nDon0d5wPMGR9gGOtA/QUJVPc31JxuY6egMROvpD2K0W1ri6sbz6Anh9sPYj\n4PVhAS6vL+FnR8t5vHsllZ4oP9m0P6N1DM4mTP7CTd+AEA/pCeR5n4Kya8xKImNqiUDtbXrVkf/5\nZFDIsp8xrw/Lho+j3voVf9r+z/y08xi/9avb+dv1xy9pxS2FYl9rHwCXzy9lbum5OaFyXHY2Lq7i\n8a3H6AtE8PeGTheD6R7SE97xhKKywENjdQHFua5kj2GA/W197Gvtw261sKLu/NK1gcgwB0/1c6xz\nkHA0js1qobLAw6KqfIpyUlimfpb2viCiElwVO4Tt3f1QUgNXfAgc+v2Hhi3c89Y8ftFdxAJXK99b\nto+F+Zc2L9aEKAWhk0TjTHor+vQMCLEhXfRk4Reh+IpMt8aYqcSi6zPHw9D1mh4+yragYHcia2+C\nPa9z+/4XaYy38NlnvsLnVw1yx/zOS9Lc/kCU3kAEl93K3NLc0ZtltbCg3Mf2490c7Rg4HRC2H+sm\nnlDUl+WxZlHZ6V6Aw2blsnkllOd7eGFXK3tO9tJQVYDLfma47kTXIL/Z5yd+VtGI4XiCw+0DHG4f\nYHFNISvnFqXcs1DRMNcMbKFyuEvvMVi6/vSw4f4+N5//TT3HBl18cs4B5se24LIUpnS+KTFS8bFw\nFa09THoHXJb1gydgeACivTpBnQkGxqVmsUL9pyF/BYROTH1Zs6kgFlh8Jaz+IMusx/ml4z5++XaA\nu1+tZyA69fMfoWE9JOXzOkbPx5Q0klcpnDw+EBmmrSeA1SKsmlc86o27qtBLVaGXeEJxuP3MRHl7\nf5BX9upgUF2Uw/XLqvn42no+fNkcGqsKsIiwu6WH3S0pjuH3dTB/75OUDXezs3gVLN8IFitKwSMH\nS7jp6SYGo1Z+cs1+1uftxiJkfuI8HtEVH6s+CAu/REIx6aIX0ysgRPsgNqjz2hcszXRrjNnCYoeF\nn4fcRXrOKltVL0Q23I7Pa+Unjj9nXtuv+eCTjRPKg3Qx7FZ9Iw9F4hesrTBSbH6kmHzvUAQFlPrc\nF1yWWlucc/r4EduPdZNQioaqfDYsrqA834PDZiXf66S5voSrGisA2HWih2h8EnMoSsHRnfDST7GR\n4KXCtWyjAn9fkJ6wjc++PJ8/2VLHFaWDPHHDbhZ4OvH3BrFZhNqSDKbEiQUh1KozMtR+LOUFENMn\nIER69MqPxffoxGSGkU5WFyz6EnhrIHT+pq+s4StGrrkDS80ivm77dx5Q3+cLz5XzF+9WE4lPzfhR\nQY4Ll8PKQChKR//ocxUKxSG/TsldmRwuGiHjjGO99/X+YIT25CTv8rrRh4Rqi3Mo87kZjic41nGR\nO4NjUXj7GXj3OSiuQq69k6K6eQA8tFVx/S+bePmUjz9ZdYIfXb2fcKCPF3e1AjC/wofTlqFVaNF+\niHZBwx9MWUaG6REQIt1AXAeDnHmZbo0xW9m8sOir4CzSaS6ylc0BzR+AFddyueznRc83OLK/lZuf\nbmJ3b+pLOq1ypkTo6wfaGXpPASCFYtvRbroHwzjtVuqS8wy+ZFK9jv4Q0djYT/Enu4fOOb53SM+R\nVuR7cFjHvvnWJHsWPUMXUai+xw/P/wRO7IGGK+DKW8Dpoa6ilGeC6/jnjg1YEyHurniW6shWHtty\nlF/v0ZXpKgu9rJp7/sR3WkS6IRGCpnugcNWUvW32TypHugEFi+8FT1WmW2PMdg6fTpu9+890Qjzn\npPb/XHoiMG8ZUlxFzpan+GHi+/xXeD2feOou7mzs5ytLWlPaSbu4ppDWngA9QxEe33qMupJcSnxu\nItE4hzsGGAhGEYE1C8qwJecZct0Oygs8+HuD7DjeQ3P9+deucyBES/cQFhHqk0Hn9LDUOA/A4/U8\nzpFI6Cyl+94AVw6svw2KdaqbF1t93PNWHR1hOx+vPcpqxzsEw2E6klMauW47CyvyaajKvyQ7v8cV\n6QCxweI/nvL0PNkdEFQcHQzuMcHAyB7OImj8Buz6Uz2U6cyCVSZjySuCjbfDnte5+cDLXO3ZyR/s\n28wNLUv4s9XHWDvJxGt2q4XrllXz+v52WrqHTq/0GeFx2rhifinVReeOry+rLaS9L8Te1l5C0RiL\nawooyHESGda1pned6EEpWFTpw+PQtyefR09O+/uCxBKJ0wHmvVq7J5jeu78L3nkGett1QZvlG8Hh\nwh+08923a3mypZAFvhAPrT/E8qIAihr6AlGisXhy3sKRuXxQYb/uqTZ+A9xjVRuYvOxOXdFUqrZu\nfdcEAyM7BU7onoLFo3sO2a67Dd55FgZ7eFrW8K3Qp7iydpj7VrVQ4RlGoegZjDAUGcaaLPU5kZxE\nA6EoR9oHCCZ3HJflu6kpyhnz6flY5yCv7vOfTtNtETknZXddSS5XNpSf8/9/te0EXQNhltYWjro/\n4VRvkOd2nsRmEW5937zRx/XjMd0r2L8FHE4dCKoXMZwQHjlQygM7qogp4ctL2vhsgx+HNcvujaG2\n5MPIH+rPYxCRtydbmTK7A8JlK9TWt7dluhmGMbbBQ7D7L8BeMD0KMCVvimr/FsLi4v7hj/PzxAZu\nrztOk2U7wdCZ3bYjOYlW1BWT45rapZUDoSj72/o42jFIZDiORYSKAg8LK3USvvc+gbf2BHhxVysK\nqC/Lo7G6gHyvg1A0zqFT/exq6SGeUCypKWTlaOP67cdh+4sw1Ksrmy29GuVw82Kbjz97t4bDA27W\nV/TzvebjzMm9iDmIdAm1gqtcB4NxHj5mbkBoblZbt27NdDMM48L6dsHeB/R8gs0z/vHZoL9L3yC7\nTnJUqvij8Gc4YKnhAwW7eX+ln3giRkdfCAW4HFY2Las+PXQz1eKJBBbL+OVFD/n7eeNgByP3LBHh\n7PvXgnIfVywsPfd9hvp0VbNTR8Cbr3sF5XXs7nVz/7s1vOL3MTc3zD0rW7i+qi/r9h0CEDypR0ka\nvw728XdEm4BgGJnWvRUO/ABcFXqJ6hRIKMWp3iCDoSiSHMKZqvQMAChF174duPe/hjcR5nVZxnfC\nd5LILeZry1pZV9LBm4fa8fcGyXM7+HDznMxMop6lLxjhQFs/RzsGiMYSWC1CZYGXhZU+Kgo8Z4JB\nOAgH3oIjO3RZy4YroH4l+wdz+V87K3mqpZA8e4yvLG3jkws6sm94CPTeiHCrTsXe8PUJ90BNQDCM\nbNDxMhz6Ycq1FBSKg6f0BOtILv4RRbkuLptXTJlvanoiT29voadvkGtc7ZS274HYMM9ZruDPQ7dh\nyc3n9xvbkK53CEWibFhcSU1R9gyLxZXCIpzbI4iG4eDburRlIga1TdC0lh3BUh7aW8GTJwrw2hJ8\nusHPZxra05IIcNJCJ8Fbp+t+27wT/m+pBITsXmVkGNNJ6XqIheHYIynVUnj3aDe7W3QN3ly3nYp8\nD/GEoqU7QPdgmOd2tHJ1U8V5K3guViAyTEd/CJvNQWHz1Uh8DRzYwnWHt3Kd801eja3kgbduptXx\nIVa49lHY6s+qgGA9u7cSHIBD78DRXRAfhupFxBvW8OJAHT98tZw3O/LItcf4fNMpNjf6yXdmcSCA\nSQeDVJmAYBhTqeJ6vWHoxM8nVUuhrTfA7pYeLKLTSs8ryz39BBxLJHj3aBf7Wvv4zT4/t6yei9M+\n+V2yoWgyJ5HHgd1q0UNdS65C5q+Cw9u58sg21jnfYZ9lHg8PbuJbu6/mpWCAj83rorlkKPPj7UpB\nZ4tOOdF2EBCoWURnzRX8a8difvZCMa1BJ5WeCH+88gQfn99Jrn3SaX7SJ9gC3jlpDwZgAoJhTC0R\nqLpJZ0htfUI/5V1ELYWRtNJLawupLzt3AtFmsdBcX0JfIIq/L8jh9gGaqidfKtaWrKYTisZQqDND\nLy4vLF6LLGqGY7uoP/Au3088SAAXj7Vcyf84eiWdnsXcNLeXm+b0UJ8XTm9wGOqFlv1wfLfuGdid\nhOou4xnnRn7un8erL+SRUMJV5f3cu6qFTdV92C3ZOzR+juBJXQa44WtpDwaQYkAQkduA/wY0AquV\nUqMO+IvIB4C/AazoWsv3p3Jew8hq59VSqJtQUBiOJ2jrCSAiLKzMH/2tERoq8/H3BTneOZhSQMjz\nOPC67ATCw7T1BKkqfM8NyOaA+at4KVhCovMk77N18Inel7jD+jx9iTx+sW81f7pnFX73fK6sjnBN\nVR+rigO4bVP8FJ5IQF8H+I9A2yEY6AYgkD+HN3w38khgDa/sKyauhDk5Yb7YdIqP1XdSkzPpsgCZ\nEToJ3uqLmkCeaqn2EHYBtwIPjXWAiFiBvweuB04CW0TkcaXUnhTPbRjZa6SWQiIKnb+ZUC2FaCyO\nAjwO6zl1AN7L59UT1pEL5AOaCIsIC8t9vHusi7cOdXDdsmpyz9pvoFDsOdmLvy+EzVWC64rViIqD\n/yj5bQf5bf+v+WT8OeJxCzuOzuONw438jDkk8kqoLvOwpChEQ36Iupww1ol2kpSCcEAvi+3vgK5W\nVHcbEouigDb3XH7j3cAjgbXs8usMpwt8IT7XeIoba3tZXBDM/FDWZITawF2Z0WAAKQYEpdReGDeH\nyGrgkFLqSPLYnwI3AyYgGDObxQrzfkf3FHre1hPNF/hdsdv0XTMyHCcaj4+ZyG2koL19wnfZsTVU\n59PSM0TXQJhfbD3G3NJcSn0eorE4R9oHTieKWz2/JLn71wo1i6BmERKPQXcb1s4WlnW0sLzvCSwq\nAUEIHXFw8nAJraqQd6SQuN2L3W7F6bTidQhuyzBuieKWKM5YAEd0EFd0AE+0F2f8TAbVFqng9fg6\nXok18VpiMd1hvW9gRfkQv1N+hHXlA5R7hsf47qaJUJvew9L4h2AfveBQuqRjDqEKaDnr65PAmJVt\nRGQzsBmgtrb20rbMMC41ix3mfw4O/B307wR37ZhBwWG1Upbvpr0vxGH/AI1Vow8HjRS2n4oVPzaL\nhWuXVPH6/nZOdA9xyD9wOm01gNNu5fL6kvPKZAJgtUFpLZTWYl2M3gU92AP9ndh7uygdCFAU7GFV\n5BjueABrPAGjlB3uUTm0q0LaVQmtqpF9qoYTUkWXs4yCXDt1uRFW5Ib5mM/PsqLD2b1U9GKNpKNo\n+qMJbTq71MYNCCLyHFA+ykv3KaUem+oGKaUeBh4GvQ9hqt/fMNLO6oCFX4D9fwMD+8FdM2ZQWFSZ\nT3tfiG3HuvF5HFQWnBnXVyh2t/TS0j2E1SLMr5ia/EkOm5WrF1cyEIpy2D9AIDKM1WKh1OdmTknO\nmMnkzmO1QX4p5JdimwPntS4Rh3iM4eE4wYSdoYSTQNyOEgt2UdRZFIusCT7qjOGyBoGjU/L9Za2w\nHxwF0PQNcIw+Z5Ru4wYEpdR1KZ6jFag56+vq5L8ZxuxhdcHCL8O+70PgKLhHT1tcW5xDfVkeh9sH\neH5nK6U+9+l9CMe7Bk8PF62eX3o6G+hUyXM7Rs8DNFUsVrBYsdt1sPCRALIwb1A6hNvBlqurPzom\nvzBgqqVjyGgLsEBE5qIDwe3AHWk4r2FkF5tbV7fa+z8h0DJqLntB7z/wOG3sa+2joz90TlUyr8vO\nZXOLmVOS2bFmIwXhdp3zqumbWZc6PdVlp7cAPwBKgCdEZJtS6v0iUoleXnqjUiomIncDT6OXnf5I\nKbU75ZYbxnRk8+qVJHv/SmewdJ+f2t0iwoq6YhbXFHK8U/cKRKA410VloTfj+YSMFEQ6dG+x6Zvg\nylC1tQswuYwMIxOGB5NBwa+XGxozX6RTLzJouueSFLcZkUouo+lRU9kwZhp7rl5m6CqDoJlSm/Ei\nXSBWaPrWJQ0GqTIBwTAyxZ6ng4K7XC8/NGamSBcgyWAw2oLN7GECgmFkksOn16C7yvScgjGzjASD\nxfeAJ/uHBk1AMIxMs+fpoOCuNEFhJplmwQBMQDCM7DAyfOSp1knOsnixhzEB4U6mWzAAExAMI3uM\nTDR750KoxQSF6SrSqYsjLbl3WgUDMAHBMLKLzatz4ec1QPCECQrTTaRDLy1dfA+4KzLdmotmAoJh\nZBubGxZ9GfKXQfAYqGlQ5cvQuYmsLlh8b9avJhqLCQiGkY2sLlh0NxSvhcAxUDMow+dMFPKD3QdN\n94KrNNOtmTRTQtMwspXFDvW/p/PenHpG11OwmF/ZyYolEvh7g0RicexWC+X5Hhy2ydekPi3UCs5S\naPrDrEpUNxnmp8swspnFCnV3gtULJx/VqbOtjky3alqJJxLsON7DQX8/keEzPS2b1cLc0lxWzi1O\nFv+5SEoly14mayBnuLjNVDABwTCynVig5ha9ie3Ij8FVrnsNxrjiiQQv7GrD3xcEoDDHSb7HyVBk\nmI7+EAdP9dPRH2LT8mpc9ou4HSoFwePga4SFd+vFADOACQiGMR2IQPm1YM+Hg38PCZ8OEMYFbT/W\njb8viNth46rGCsp87tOv9QUjvLLXT18gwusHOti4eIJLRFVCz+sUXQHzfw+szkvT+Awwk8qGMZ0U\nXaazZSbCer27MaZYPMFBvy43enXTucEAIN/j5JollVgtQmv3EIOh6PhvmojpAkcV18GCz82oYAAm\nIBjG9JO3AJZ+G6wes6v5Alp7A0RjCYrzXJTkuUc9xuu0M6c4FwUc7xy68BvGw3qYqOajUPfbM3KC\n3wQEw5iO3BWw9E8gZ76+SZm9CucJR/UEcoH3wk/xBTn69dBwbOyDhgf1PoP5n4Pqm/W8zgw0M78r\nw5gN7Hl6dUvpVXpMOz6BIY9ZxG7Vt7dg5AI3eiAQGT7n+PNEuiE2BI3fgNJ1ej5nhjIBwTCmM6sD\n5n0a5t4F4VYYHsh0i7JGRYEHiwhtvQGGwsOjHhNLJDjaMQhAVeF7VgoppfcYWO26N5bfdKmbnHEp\nBQQRuU1EdotIQkTGLNkmIsdEZKeIbBMRUxPTMKaSiJ7kbLoH4iE9tGHgdtioLc5BKXhl36lz9iCA\nDgav7vMTGY5TmOOkOM915kWV0GlDcuphyXd0FtpZINVZkV3ArcBDEzh2o1KqK8XzGYYxFl8DLPuu\nXpY6dAw8Nbps4yx2WX0JnYNhugbCPPrWUeaW5pLvdRIID3OkY5BQNIbdamHNwnKE5FBQPKx7BhXX\nw5xP6B3js0RKAUEptRdAZvCYmmFMK64SnU/nxM90uotZvonN47Dx/uXVvLrfT3tfiAOn+s95vcDr\nZO2iMgqTE8tEevR8Qf1noPTqGT1fMJp0rZtSwHMiEgceUko9nKbzGsbsY3XodBd5i+DQwxAbAGfZ\nrLu5jfA67WxaVkNvIMLxzkHCw3EcVgtVRTmU+ly6ZzAyX+DwQeO3Iacu083OiHEDgog8B4yWy/U+\npdRjEzzPOqVUq4iUAs+KyD6l1MtjnG8zsBmgtrZ2gm9vGMY5RKDocvDUwqGHYOgwuKtn1fDHexV4\nnaMvQY1HdDAoXKV7BjMgJ9FkjRsQlFLXpXoSpVRr8nOHiDwKrAZGDQjJ3sPDAM3NzWbHjWGkwl2m\n8/O3PQkt/wE2HzgLM92q7BHuhEQI5n0KyjbO2P0FE3XJv3sR8YpI7sjfgU3oyWjDMNLBYoPqm2DJ\nt3XxncAxnYJhNkvE9HVw5OuJ+PJrZ30wgNSXnd4iIieBNcATIvJ08t8rReTJ5GFlwG9EZDvwFvCE\nUuqpVM5rGMYk5Nbrm1/VTTrlRWSWLvqLdOnvv+rDOgXILFlSOhGisjgPSnNzs9q61WxbMIwpFzgO\nh/9Jf3aW657DTBePQrhNB4D635uxE8ci8rZSasx9YRcy87IzGYYxPu8cveGq81U4/m8Q7QJXpS7I\nM9OoBIROAQpqb4OKTbN6cv1CTEAwjNnKYoWy9VC4Ak4+Bu0vgDjAVTYzxtOVgmgPDPdD8RodDFzF\nmW5VVjMBwTBmO3sezP0klF8HLY9C15t6M5uzdPruXYj26WCQMw8W3Q25C6fv95JGJiAYhqG5K2Dh\nF6DyBmj5L+jbDhaH3u08HXoMSsFwn/5wV8C8r0HBsunR9ixhAoJhGOfKmQuNX4XACWj7FXS9oW+q\nzhKwusb//+mmErp6XDwInjk682vBipk5H3KJmYBgGMbovLW6TGTNrXry2f+szqRqywFHYeafvGMB\niHbrgJC/HKpuNENDKTIBwTCMC3OVQM1HoPJG6N8N7S9C3y5Agc0L9oL0PI0rpXsB0R4dBJwFUPtx\nKGoGZ9GlP/8sYAKCYRgTY3VA4Ur9MTwIfbuh6zUY2HOmhKctT/cgpqLesFKQCEO0X38WAUex3nWd\nv0wvnc10L2WGMQHBMIyLZ8+Fkvfpj3hUb3Ab2A/9uyBwFBLDgOhAITY992Cx6/oMYtOvkQCUPiYR\nPfOhEvpGrxI6+2jxavAt1gHANXuztqaDCQiGYaTG6oC8Bfqj+kPJSd4uCHfo+gJhv/4YHoRYUA/7\njNz0xZZcyVSq5yVcxeCq0MNUzhI9JGUCQNqYgGAYxtQSi77Bu0oz3RLjIpkBOMMwDAMwAcEwDMNI\nMgHBMAzDAExAMAzDMJJMQDAMwzAAExAMwzCMJBMQDMMwDMAEBMMwDCMppYAgIn8lIvtEZIeIdQ9S\n0gAABIlJREFUPCoi+WMc9wER2S8ih0TkW6mc0zAMw7g0Uu0hPAssUUotAw4A97z3ABGxAn8P3AA0\nAZ8QkaYUz2sYhmFMsZQCglLqGaVULPnlG0D1KIetBg4ppY4opaLAT4GbUzmvYRiGMfWmMpfRp4H/\nN8q/VwEtZ319ErhirDcRkc3A5uSXERHZNWUtnN6Kga5MNyILmOtwhrkWZ5hrccaiyf7HcQOCiDwH\nlI/y0n1KqceSx9wHxICfTLYhI5RSDwMPJ993q1KqOdX3nAnMtdDMdTjDXIszzLU4Q0S2Tvb/jhsQ\nlFLXjXPy3wE+BFyrlFKjHNIK1Jz1dXXy3wzDMIwskuoqow8A3wBuUkoFxzhsC7BAROaKiAO4HXg8\nlfMahmEYUy/VVUZ/B+QCz4rINhF5EEBEKkXkSYDkpPPdwNPAXuBnSqndE3z/h1Ns30xiroVmrsMZ\n5lqcYa7FGZO+FjL6KI9hGIYx25idyoZhGAZgAoJhGIaRlPGAMF5aC9H+Nvn6DhFZlYl2psMErsWd\nyWuwU0ReE5HlmWhnOkw03YmIXC4iMRH5rXS2L50mci1EZENyHm+3iPw63W1Mlwn8jvhE5Bcisj15\nLX43E+281ETkRyLSMdY+rUnfN5VSGfsArMBhYB7gALYDTe855kbgV4AA7wPezGSbM3wt1gIFyb/f\nMJuvxVnHvQA8CfxWptudwZ+LfGAPUJv8ujTT7c7gtbgX+Mvk30uAHsCR6bZfgmuxHlgF7Brj9Und\nNzPdQ5hIWoubgX9R2htAvohUpLuhaTDutVBKvaaU6k1+OVaqkJlgoulOvgT8B9CRzsal2USuxR3A\nfyqlTgAopWbq9ZjItVBArogIkIMOCDFmGKXUy+jvbSyTum9mOiCMltaiahLHzAQX+31+Bv0EMBON\ney1EpAq4BfiHNLYrEybyc7EQKBCRl0TkbRG5K22tS6+JXIu/AxqBNmAn8BWlVCI9zcsqk7pvTmUu\nIyNNRGQjOiCsy3RbMuivgW8qpRL6YXBWswGXAdcCbuB1EXlDKXUgs83KiPcD24BrgHr0HqlXlFID\nmW3W9JDpgDCRtBazJfXFhL5PEVkG/CNwg1KqO01tS7eJXItm4KfJYFAM3CgiMaXUf6WniWkzkWtx\nEuhWSgWAgIi8DCxHp6SfSSZyLX4XuF/pgfRDInIUaADeSk8Ts8ak7puZHjKaSFqLx4G7krPm7wP6\nlVKn0t3QNBj3WohILfCfwCdn+NPfuNdCKTVXKVWnlKoDfg58YQYGA5jY78hjwDoRsYmIB51NeG+a\n25kOE7kWJ9A9JUSkDJ3580haW5kdJnXfzGgPQSkVE5GRtBZW4EdKqd0i8vvJ1x9EryC5ETgEBNFP\nADPOBK/Ft4Ei4H8nn4xjagZmeJzgtZgVJnItlFJ7ReQpYAeQAP5RKTXj0sZP8Ofie8D/EZGd6BU2\n31RKzbi02CLyb8AGoFhETgLfAeyQ2n3TpK4wDMMwgMwPGRmGYRhZwgQEwzAMAzABwTAMw0gyAcEw\nDMMATEAwDMMwkkxAMAzDMAATEAzDMIyk/w8T1KTf3N6uVgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b5af780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_train, y_train = create_toy_data(sinusoidal, 25, 0.25)\n",
    "x_test = np.linspace(0, 1, 100)\n",
    "y_test = sinusoidal(x_test)\n",
    "\n",
    "feature = GaussianFeatures(np.linspace(0, 1, 9), 0.1)\n",
    "X_train = feature.transform(x_train)\n",
    "X_test = feature.transform(x_test)\n",
    "\n",
    "model = BayesianRegressor(alpha=1e-3, beta=2.)\n",
    "\n",
    "for begin, end in [[0, 1], [1, 2], [2, 4], [4, 8], [8, 25]]:\n",
    "    model.fit(X_train[begin: end], y_train[begin: end])\n",
    "    y, y_std = model.predict(X_test, return_std=True)\n",
    "    plt.scatter(x_train[:end], y_train[:end], s=100, facecolor=\"none\", edgecolor=\"steelblue\", lw=2)\n",
    "    plt.plot(x_test, y_test)\n",
    "    plt.plot(x_test, y)\n",
    "    plt.fill_between(x_test, y - y_std, y + y_std, color=\"orange\", alpha=0.5)\n",
    "    plt.xlim(0, 1)\n",
    "    plt.ylim(-2, 2)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3.5 The Evidence Approximation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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sEQq+g/oS0HnJBreL+BisvD0jnfczfPjzwRAW/JDAi5e5MMPpG0g/ILdhHDe/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\ndMDXNE2bJ3TA1zRNmyf+P6uwlYFk7cT7AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10abb43c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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0RBhpvdq5HcUEscTY2u0jtv5Ic/KliEQAA1X1GlW9BjgN75iR0Xh/4NdLRN4T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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b468f28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def cubic(x):\n",
    "    return x * (x - 5) * (x + 5)\n",
    "\n",
    "x_train, y_train = create_toy_data(cubic, 30, 10, [-5, 5])\n",
    "x_test = np.linspace(-5, 5, 100)\n",
    "evidences = []\n",
    "models = []\n",
    "for i in range(8):\n",
    "    feature = PolynomialFeatures(degree=i)\n",
    "    X_train = feature.transform(x_train)\n",
    "    model = EmpiricalBayesRegressor(alpha=100., beta=100.)\n",
    "    model.fit(X_train, y_train, max_iter=100)\n",
    "    evidences.append(model.log_evidence(X_train, y_train))\n",
    "    models.append(model)\n",
    "\n",
    "degree = np.nanargmax(evidences)\n",
    "regression = models[degree]\n",
    "\n",
    "X_test = PolynomialFeatures(degree=int(degree)).transform(x_test)\n",
    "y, y_std = regression.predict(X_test, return_std=True)\n",
    "\n",
    "plt.scatter(x_train, y_train, s=50, facecolor=\"none\", edgecolor=\"steelblue\", label=\"observation\")\n",
    "plt.plot(x_test, cubic(x_test), label=\"x(x-5)(x+5)\")\n",
    "plt.plot(x_test, y, label=\"prediction\")\n",
    "plt.fill_between(x_test, y - y_std, y + y_std, alpha=0.5, label=\"std\", color=\"orange\")\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "plt.plot(evidences)\n",
    "plt.title(\"Model evidence\")\n",
    "plt.xlabel(\"degree\")\n",
    "plt.ylabel(\"log evidence\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
